Answer :

Answer:

(x,y)=(6,-2)

Step-by-step explanation:

to understand this

you need to know about:

  • linear equation
  • system of linear equation
  • solving system of linear equation by graphing
  • PEMDAS

given:

  • [tex] \begin{cases} \sf x + y = 4 \\ \sf7x - 6y = 54 \end{cases}[/tex]

tips and formulas:

  • to solve system of linear equation by graphing we have to simplify the linear equations to slope-intercept form
  • slope intercept form:y=mx+b

let's solve:

let's simplify first linear equation to slope -intercept form

x+y=4

y=-x+4

table for this equation

see the first attachment picture

let's simplify first linear equation to slope -intercept form

[tex] \sf7x - 6y = 54[/tex]

[tex] \sf - 6y = - 7x + 54 \\ \sf \frac{ - 6y}{ - 6} = \frac{ - 7}{ - 6} x + \frac{54}{ - 6} \\ \sf y = \frac{7}{6} x - 9[/tex]

table for this equation

see the second attached picture

solutions by graphing the system of linear equation

see the last attached picture

note: the red line is for first equation as well as the green line is for second equation and the black dot is the coordinates of the solutions of x and y

${teks-lihat-gambar} Аноним
${teks-lihat-gambar} Аноним
${teks-lihat-gambar} Аноним

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